462878541 has 24 divisors (see below), whose sum is σ = 703404000. Its totient is φ = 292885152.

The previous prime is 462878509. The next prime is 462878543. The reversal of 462878541 is 145878264.

It is not a de Polignac number, because 462878541 - 2⁵ = 462878509 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462878543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370 + ... + 30428.

It is an arithmetic number, because the mean of its divisors is an integer number (29308500).

Almost surely, 2^462878541 is an apocalyptic number.

It is an amenable number.

462878541 is a deficient number, since it is larger than the sum of its proper divisors (240525459).

462878541 is a wasteful number, since it uses less digits than its factorization.

462878541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30153 (or 30150 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 462878541 is about 21514.6122670152. The cubic root of 462878541 is about 773.5511138321.

The spelling of 462878541 in words is "four hundred sixty-two million, eight hundred seventy-eight thousand, five hundred forty-one".